economia: simetria-dual de consumo segun un capital logarítmica

F(x,y) = n·ln(x)+m·ln(y)+(-1)·h( px+qy+(-k) ) & px+qy=k


d_{x}[F(x,y)] = n·(1/x)+(-1)·hp
d_{y}[F(x,y)] = m·(1/y)+(-1)·hq


n·(1/x)=hp
m·(1/y)=hq


n=hpx
m=hqy


n+m=hk


si h=1 ==>


n=k+(-j)
m=j


G( n/p , m/q ) = n·ln(n/p)+m·ln(m/q)